broadcast in Room 515, Cosmology Bldg., NTU, Online seminar
(線上演講 於台大次震宇宙館515教室直播/收播)
Spectra of Derived Categories of Noetherian Schemes
Hiroki Matsui (Tokushima University)
Abstract
The spectrum of a tensor triangulated category (i.e., a triangulated category with a tensor structure) has been introduced and studied by Balmer in 2005.
Balmer applied it to the perfect derived category with the derived tensor products for a Noetherian scheme and proved that the tensor triangulated category structure of the perfect derived category completely determines the original scheme.
In this talk, I will introduce the notion of the spectrum of a triangulated category without tensor structure and develop a “tensor-free” analog of Balmer’s theory.
Also, I will apply this to derived categories of Noetherian schemes.
Link information
Meeting ID: 896 0321 0669
Passcode: 340252
